Don't raise objection on this question because it has proof in latest BSc book of Dinesh's Nuclear and Particle Physics

Q43 set B , option D is correct

Page - 270
Statistical Mechanics by Satyaprakash

Set B Q29 proof
Analytical mechanics Book - 5th edition
Q50 proof
Nuclear and Particle Physics book - 5th edition

This is 10th edition of Pradeep's Fundamental Vol.II

Don't know the edition of Satyaprakash book

PublicnoticeforanswerKeyobjectionsofScienceMusicMasterCadrePosts27.pdf

Master Cadre Maths Result is Declared

Revised answer keys are also uploaded on official website

RollNumberwiseresultsofMathMasterPosts27_10_2022.pdf

Correct answer is B

classical-mechanics-j-c-upadhyaya.pdf

Best book to follow for understanding classical mechanics
Sharing pdf of Classical Mechanics by JC Udaphyaya